A four-state adaptive Hopf oscillator
نویسندگان
چکیده
منابع مشابه
Bursting in a Subcritical Hopf Oscillator with a Nonlinear Feedback
Bursting is a periodic transition between a quiescent state and a state of repetitive spiking. The phenomenon is ubiquitous in a variety of neurophysical systems. We numerically study the dynamical properties of a normal form of subcritical Hopf oscillator (at the bifurcation point) subjected to a nonlinear feedback. This dynamical system shows an infinite-period or a saddle-node on a limit cyc...
متن کاملFour-dimensional double singular oscillator
The Schrödinger equation for the four-dimensional double singular oscillator is separable in Eulerian, doble polar and spheroidal coordinates in IR. It is shown that the coefficients for the expansion of double polar basis in terms of the Eulerian basis can be expressed through the Clebsch-Gordan coefficients of the group SU(2) analytically continued to real values of their arguments. The coeff...
متن کاملOscillator death in coupled functional differential equations near Hopf bifurcation
The stability of the equilibrium solution is analyzed for coupled systems of retarded functional differential equations near a supercritical Hopf bifurcation. Necessary and sufficient conditions are derived for asymptotic stability under general coupling conditions. It is shown that the largest eigenvalue of the graph Laplacian completely characterizes the effect of the connection topology on t...
متن کاملCurrent-mode Four-phase Quadrature Oscillator
This paper presents a current-mode four-phase third-order quadrature oscillator (QO) using current differencing transconductance amplifiers (CDTA). The proposed thirdorder QO consists of three CDTAs and three grounded capacitors, and it could generate four quadrature current outputs. The oscillation condition and oscillation frequency could be electronically and independently adjusted. Moreover...
متن کاملMultifrequency forcing of a Hopf oscillator model of the inner ear.
In response to a sound stimulus, the inner ear emits sounds called otoacoustic emissions. While the exact mechanism for the production of otoacoustic emissions is not known, active motion of individual hair cells is thought to play a role. Two possible sources for otoacoustic emissions, both localized within individual hair cells, include somatic motility and hair bundle motility. Because physi...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: PLOS ONE
سال: 2021
ISSN: 1932-6203
DOI: 10.1371/journal.pone.0249131